Negative Even Grade mKdV Hierarchy and its Soliton Solutions
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Data
2011-01-01
Autores
Gomes, J. F. [UNESP]
de Melo, G. R. [UNESP]
Starvaggi Franca, G. [UNESP]
Zimerman, Abraham Hirsz [UNESP]
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Iop Publishing Ltd
Resumo
In this paper we discuss the algebraic construction of the mKdV hierarchy in terms of an affine Lie algebra (s) over capl(2). An interesting novelty araises from the negative even grade sector of the affine algebra leading to nonlinear integro-differential equations admiting non-trivial vacuum configuration. These solitons solutions are constructed systematically from generalization of the dressing method based on non zero vacua. The sub-hierarchies admiting such class of solutions are classified.
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Group 28: Physical and Mathematical Aspects of Symmetry: Proceedings of The 28th International Colloquium on Group-theoretical Methods In Physics. Bristol: Iop Publishing Ltd, v. 284, p. 9, 2011.